Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352ea |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2580771065741180928 = -1 · 218 · 38 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17844,-77286256] |
[a1,a2,a3,a4,a6] |
Generators |
[610:12672:1] [896:25652:1] |
Generators of the group modulo torsion |
j |
3288008303/13504609503 |
j-invariant |
L |
8.1619239634099 |
L(r)(E,1)/r! |
Ω |
0.11885921622674 |
Real period |
R |
4.2918022170024 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352cf5 11088bh6 14784br6 |
Quadratic twists by: -4 8 -3 |